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Finding the Third Proportional to 399,983 and 844,930

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Solution

The third proportional to 399,983 and 844,930 is: 1,784,842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,983 : 844,930 = 844,930 : x
  2. Step 2: Convert to fraction form
    399,983/844,930 = 844,930/x
  3. Step 3: Cross multiply
    399,983x = 844,930 × 844,930
  4. Step 4: Simplify right side
    399,983x = 713,906,704,900
  5. Step 5: Solve for x
    x = 713,906,704,900/399,983
  6. Step 6: Final answer
    x = 1,784,842.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.